3801126473928 has 288 divisors, whose sum is σ = 12330931649400. Its totient is φ = 1053953316864.

The previous prime is 3801126473849. The next prime is 3801126473941. The reversal of 3801126473928 is 8293746211083.

It is a happy number.

3801126473928 is a `hidden beast` number, since 3 + 80 + 1 + 1 + 2 + 6 + 473 + 92 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2748241159524 + 1052885314404 = 1657782^2 + 1026102^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50741076 + ... + 50815932.

Almost surely, 2^{3801126473928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3801126473928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165465824700).

3801126473928 is an abundant number, since it is smaller than the sum of its proper divisors (8529805175472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3801126473928 is a wasteful number, since it uses less digits than its factorization.

3801126473928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75309 (or 75295 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3801126473928 in words is "three trillion, eight hundred one billion, one hundred twenty-six million, four hundred seventy-three thousand, nine hundred twenty-eight".